pythagorean theorema=13 b=9 c=?
a^2+b^2=c^2
13^2+9^2=c^2
169+81=c^2
250=c^2
Take the square root of 250 for your answer.
Thank you Jen. U r great
To find the value of "c" using the Pythagorean theorem, we need to know the values of the other two sides of the right-angled triangle: "a" and "b". In your case, you have only given the value of side "b", which is 9.
The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Mathematically, it can be written as:
c^2 = a^2 + b^2
Here, "c" represents the hypotenuse, "a" represents one of the other sides, and "b" represents the remaining side.
You have mentioned that a = 13, so substituting the known values into the equation:
c^2 = 13^2 + 9^2
c^2 = 169 + 81
c^2 = 250
To find the value of "c", we need to calculate the square root of both sides of the equation:
c = sqrt(250)
c ≈ 15.81 (rounded to two decimal places)
Therefore, in the given right-angled triangle where a = 13 and b = 9, the value of c (the hypotenuse) is approximately 15.81.